// Simulator that captures solution's stderr
#include <bits/stdc++.h>
#include <unistd.h>
#include <sys/wait.h>
#include <fcntl.h>
using namespace std;

int main(int argc, char* argv[]) {
    int n = 100000, subtask = 3;
    if (argc > 1) n = atoi(argv[1]);
    if (argc > 2) subtask = atoi(argv[2]);

    vector<int> ring(n);
    iota(ring.begin(), ring.end(), 1);
    mt19937 rng(42);
    shuffle(ring.begin(), ring.end(), rng);

    vector<int> pos(n+1);
    for (int i = 0; i < n; i++) pos[ring[i]] = i;

    vector<int> vis(n+2, 0);
    int an = 0;

    auto flip2 = [&](int u) -> int {
        int pu = pos[u] + 1;
        if ((vis[pu] ^= 1)) {
            an += vis[pu-1] + vis[pu+1];
        } else {
            an -= vis[pu-1] + vis[pu+1];
        }
        return an || (vis[1] && vis[n]);
    };

    int pipe_to_sol[2], pipe_from_sol[2];
    pipe(pipe_to_sol);
    pipe(pipe_from_sol);

    // Pipe for solution's stderr
    int pipe_err[2];
    pipe(pipe_err);

    pid_t pid = fork();
    if (pid == 0) {
        close(pipe_to_sol[1]);
        close(pipe_from_sol[0]);
        close(pipe_err[0]);
        dup2(pipe_to_sol[0], STDIN_FILENO);
        dup2(pipe_from_sol[1], STDOUT_FILENO);
        dup2(pipe_err[1], STDERR_FILENO);
        close(pipe_to_sol[0]);
        close(pipe_from_sol[1]);
        close(pipe_err[1]);
        execl("./debug_sol", "debug_sol", nullptr);
        perror("execl");
        _exit(1);
    }

    close(pipe_to_sol[0]);
    close(pipe_from_sol[1]);
    close(pipe_err[1]);

    // Make stderr pipe non-blocking
    fcntl(pipe_err[0], F_SETFL, O_NONBLOCK);

    FILE* to_sol = fdopen(pipe_to_sol[1], "w");
    FILE* from_sol = fdopen(pipe_from_sol[0], "r");

    auto readIntFrom = [&]() -> int {
        int c = fgetc(from_sol);
        while (c != '-' && (c < '0' || c > '9')) {
            if (c == EOF) return -999;
            c = fgetc(from_sol);
        }
        int sgn = 1;
        if (c == '-') { sgn = -1; c = fgetc(from_sol); }
        int x = 0;
        while (c >= '0' && c <= '9') { x = x*10+(c-'0'); c = fgetc(from_sol); }
        return x * sgn;
    };

    int cnt_round = 0, cnt_query = 0;
    auto start_time = chrono::steady_clock::now();

    fprintf(to_sol, "%d %d\n", subtask, n);
    fflush(to_sol);

    bool correct = false;
    bool error = false;

    while (true) {
        int N = readIntFrom();
        if (N == -999) { fprintf(stderr, "EOF from solution\n"); error = true; break; }
        if (N == -1) {
            vector<int> ans(n);
            for (int i = 0; i < n; i++) {
                ans[i] = readIntFrom();
                if (ans[i] == -999) { error = true; break; }
            }
            if (error) break;

            int opt = -1;
            for (int i = 0; i < n; i++) if (ans[0] == ring[i]) { opt = i; break; }
            if (opt == -1) { fprintf(stderr, "Answer vertex not in ring\n"); break; }

            bool f1 = true, f2 = true;
            for (int i = 1; i < n; i++) {
                int op1 = (opt + i) % n;
                int op2 = (opt - i + n) % n;
                if (ring[op1] != ans[i]) f1 = false;
                if (ring[op2] != ans[i]) f2 = false;
                if (!f1 && !f2) break;
            }
            correct = f1 || f2;
            break;
        }

        cnt_round++;
        cnt_query += N;

        vector<int> ops(N);
        for (int i = 0; i < N; i++) {
            ops[i] = readIntFrom();
            if (ops[i] == -999) { error = true; break; }
        }
        if (error) break;

        for (int i = 0; i < N; i++) {
            int res = flip2(ops[i]);
            if (i > 0) fputc(' ', to_sol);
            fprintf(to_sol, "%d", res);
        }
        fputc('\n', to_sol);
        fflush(to_sol);
    }

    auto end_time = chrono::steady_clock::now();
    double elapsed = chrono::duration<double>(end_time - start_time).count();

    fclose(to_sol);
    fclose(from_sol);

    int status;
    waitpid(pid, &status, 0);

    // Read solution's stderr
    char errbuf[65536];
    string sol_stderr;
    ssize_t nr;
    while ((nr = read(pipe_err[0], errbuf, sizeof(errbuf)-1)) > 0) {
        errbuf[nr] = 0;
        sol_stderr += errbuf;
    }
    close(pipe_err[0]);

    auto f = [](double x) -> double { return min(max(log2(x), 0.0), 8.0); };
    double lambda_val = max(0.0, 1.0 - 0.1 * (f(cnt_round / 18.0) + f(cnt_query / 1.5e7)));

    printf("=== Solution Debug Output ===\n%s\n", sol_stderr.c_str());
    printf("=== Results ===\n");
    printf("Correct: %s\n", correct ? "YES" : "NO");
    printf("Rounds: %d\n", cnt_round);
    printf("Queries: %d\n", cnt_query);
    printf("Time: %.3f s\n", elapsed);
    printf("Lambda: %.4f\n", lambda_val);

    return correct ? 0 : 1;
}